Optimal control problems on the co-adjoint Lie groupoids
Optimization and Control
2024-11-26 v1 Mathematical Physics
math.MP
Abstract
In this work we study the invariant optimal control problem on Lie groupoids. We show that any invariant optimal control problem on a Lie groupoid reduces to its co-adjoint Lie algebroid. In the final section of the paper, we present an illustrative example.
Cite
@article{arxiv.2411.16640,
title = {Optimal control problems on the co-adjoint Lie groupoids},
author = {Ghorbanali Haghighatdoost},
journal= {arXiv preprint arXiv:2411.16640},
year = {2024}
}
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17 pages